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Finding the Fourth Proportional to 279,597.45, 418,981.44 and 205,362.57

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Solution

The fourth proportional to 279,597.45, 418,981.44 and 205,362.57 is: 307,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,597.45 : 418,981.44 = 205,362.57 : x
  2. Step 2: Convert to fraction form
    279,597.45/418,981.44 = 205,362.57/x
  3. Step 3: Cross multiply
    279,597.45x = 418,981.44 × 205,362.57
  4. Step 4: Simplify right side
    279,597.45x = 86,043,105,300.70
  5. Step 5: Solve for x
    x = 86,043,105,300.70/279,597.45
  6. Step 6: Final answer
    x = 307,739.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.